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Finding the Fourth Proportional to 463,816.60, 694,688.10 and 453,448.60

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Solution

The fourth proportional to 463,816.60, 694,688.10 and 453,448.60 is: 679,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,816.60 : 694,688.10 = 453,448.60 : x
  2. Step 2: Convert to fraction form
    463,816.60/694,688.10 = 453,448.60/x
  3. Step 3: Cross multiply
    463,816.60x = 694,688.10 × 453,448.60
  4. Step 4: Simplify right side
    463,816.60x = 315,005,346,381.66
  5. Step 5: Solve for x
    x = 315,005,346,381.66/463,816.60
  6. Step 6: Final answer
    x = 679,159.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.